A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.8 years, and standard deviation of 0.7 years.

If you randomly purchase one item, what is the probability it will last longer than 6 years?

Round answer to three decimal places

Answers

Answer 1

The probability of 6 years or more, so we want the complement,

1 - 0.98533 = 0.01467                        1.467% chance, not very likely.

What is Z-score?

A z score is a type of statistical measurement that gives an idea of how far a raw score is from the mean of a distribution. A z score is used in a z test for hypothesis testing.

Here, Because you are looking for the mean of a group of 7.8, the standard deviation will shrink by a factor of √6

Old standard deviation = 0.7,

new standard deviation = 0.7/√6 = 0.64254

You need to find a z-score and then convert your z-score to a probability.

z-score = (your score - average)/ std dev

z-score = (7.8 - 6)/0.64254

z-score = 2.1789

To convert a z-score either look it up on a table or use a calculator.

But z-tables are designed to shade to the left, which means this is the probability that the mean life is 6 years or less. We want the probability of 6 years or more, so we want the complement, 1 - 0.98533 = 0.01467

1.467% chance, not very likely.

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Related Questions

can someone please help walk me through the steps to solve number 79? i’m lost

Answers

Answer: 70/29

Step-by-step explanation:

[tex]S=\theta r\\\\35=14.5 \theta\\\\\theta=\frac{35}{14.5}=\boxed{\frac{70}{29}}[/tex]

Select the correct interpretation of the following expression.

2(3x+1)(9x-5)

A.
double the sum of 3x + 1 and 9x - 5
B.
the sum of 2, 3x, 1, 9x, and -5
C.
the product of 2, 3x + 1, and 9x - 5
D.
the product of 2, 3x, 1, 9x, and -5

Answers

Answer:

C

Step-by-step explanation:

you are multiplying so it is the product of the three

2 ( ...  )    ( ... )

and you must solve the brackets first so C and not D

Consider figures 1 and 2 shown in the coordinate plane. Figure 1 has been transformed to produce figure 2.

Answers

Answer:

0 and -6

(0,-6)

Step-by-step explanation:

Can't really explain, but this is a guess on the actual question.

Phil Santos owns an independent mobile phone store. He has a wonderful personality, is very knowledge about the products he sells and people flock to his store. Phil would like to start selling online so he can reach more customers.

He's talked with website developers and the firm he decided to go with will charge him $9500 to build the site. Phil wondered why the site was so expensive and explored the idea of building it himself. He found out it's complicated to build a site that can take payments so he decided to be safe rather than sorry and have it built by experts. They also gave him an estimate of $5300 a year to maintain his site. This will allow him to update the site constantly and add new pictures and videos as new products and promotions are introduced over the course of the year.

A marketing research firm found that he should expect about 133 sales a month averaging about $290 profit per sale. Phil was thrilled with this news and decided to spend $15,000 to add a new room to his store to be used as a shipping area.

He also wanted to make his sales literature and in store promotional materials such as banners, and promotional give-a-ways consistent with the look of the website. Phil has worked with a graphic design class at the local community college and knows it will cost $2300 a year to have the materials designed and printed.

What is the cost to acquire each new customer? Show your full calculation.
Does it make sense for Phil to sell his products online?

Answers

Answer:

It makes sense for Phil to sell his products online.

Step-by-step explanation:

You must make 3 shots in a row to win the fairs basketball game. The hoop is uneven and the backboard curved. Only 5 players out of 100 win the game. What percentage of players do not win.

Answers

Answer:

95%

Step-by-step explanation:

5 player won, meaning 95 player didn't.

This means that 95% of the players didn't win.

curved surface area of a cone = Trl, where r is the
radius and is the slant height.
The cone below has a slant height of 23 cm and a
diameter of 6 cm.
Work out the curved surface area of the cone.
Give your answer to the nearest integer and remember
to give the correct units.
6 cm
23 cm
Not drawn accurately

Answers

The curved surface area of the cone is 144 cm².

What is the curved surface area?

A cone is a three-dimensional object that consists of a circular base and an vertex.

curved surface area = πrl

Where:

r = radius = diameter / 2 = 6/2 = 3 cm l = slant heightπ = 3.14

3.14 x 3 x 23 = 144 cm²

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Find the average rate of change of the function f(x) - 2x² + 6x + 6, from x=-3 to x=-1. Note, the directions are equivalent to "Find the average rate of change over the interval [-3,-1]".​

Answers

Answer: -2

Step-by-step explanation:

I will assume you meant [tex]f(x)=2x^{2}+6x+6[/tex].

[tex]f(-3)=2(-3)^2 + 6(-3)+6=6\\\\f(-1)=2(-1)^2 + 6(-1)+6=2\\\\\therefore \frac{f(-3)-f(-1)}{-3-(-1)}=\frac{6-2}{-2}=\boxed{-2}[/tex]

What would the following figure look like after a reflection in a horizontal mirror, followed by a rotation 90 degrees counterclockwise?

Answers

Answer:

Step-by-step explanation:

To rotate any figure we have to have the CENTER of rotation!!!!

You did not provide us (your helpers) with that point, so I chose point on the horizontal mirror.

Can you do this because it is confusing the thing is y=mx+c and also it is not 1/2x+0.5

Answers

Step-by-step explanation:

there must be no confusion just put x= 0 u get y=0.5 which is true according to graph and also put x=2 you get y = 1.5 which is again satisfy by the graph so it is 1/2x+0.5

Answer:

y = 1/2 x + 1/2

Step-by-step explanation:

I think your answer is not wrong but if the math program won't accept it, check these two things:

Make sure the x is beside the 1/2 and is not interpreting it as the x on the bottom with the 2 which is wrong.

Also, usually we don't put a mix of decimals and fractions. So change that .5 to a 1/2. I know what you have is equivalent, but just the norms dictate how to write it. Maybe it is just some tiny detail as these two details. Please don't be confused, you aren't wrong.

Suppose that an examination consists of 10 questions with the choice A, B, C, and D. Assume that a student has no knowledge of the subject matter. Then what is the probability that: Guessing at most two correct answers? Guessing at least seven correct answers? Which type of probability distribution it has? Why? average five smokers pass a crain traat B. C. Suppose that an examination consists of 10 questions with the choice A , B , C , and D. Assume that a student has no knowledge of the subject matter . Then what is the probability that : Guessing at most two correct answers ? Guessing at least seven correct answers ? Which type of probability distribution it has ? Why ? ​

Answers

The probability of getting two correct answers will be 0.0625.

How to calculate the probability?

The probability of getting two correct answers will be:

Probability of getting the correct answer will be:

= 1/4 = 0.25

The probability of getting two correct answers will be:

= 0.25 × 0.25

= 0.0625

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Which model represents 2 . 36 ÷ 4 ?

A. Three groups each have three tens and 4 ones.

B. There are three groups of five tens and 9 ones in each group.

C. There are four groups of three tens and six ones.

D. There are three groups of five tens and nine ones in each group

Answers

ITS D. Attached screenshot shows D is correct!

THE ANSWER IS D BECAUSE 2.36 ÷4= 0.59
D IS THE ONLY OPTION THAT REPRESENTS THE .59 (5 columns of tenths + 9 ones= .59)

I CHOSE THE WRONG ANSWER FROM A PREVIOUS POST ON HERE WITH THE SAME QUESTION THAT TOLD ME TO CHOOSE C & LEARNED THE HARD WAY, THAT WAS WRONG. THE ANSWER IS D!

How many degrees does Earth turn in one hour?

Answers

Answer:

15 degrees

Step-by-step explanation:

Answer:

The earth turns 15 degrees in one hour. Hope this helps!

Step-by-step explanation:

e:f=3:7
f:g=2:3
Work out e:g in simplest form

Answers

The value of e:g is 2:7.

what is Ratio?

A ratio indicates how many times one number contains another.

Given:

e:f=3:7

f:g=2:3

Now take LCM of 2 and 7 i.e., 14.

e/f= 3/7= 3*2/7*2= 6/14

and, f/g= 2/3= 2*7/3*7= 14/21

So,

e/g= e/f *f /g

     = 6/14*14/21

     = 6/21

e:g = 2:7

Hence, the value of e:g is 2:7.

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Is the graph increasing, decreasing, or constant?

Answers

Answer:

jxdhjsssdddddsssssdd

Answer:

increasing

Step-by-step explanation:

look left to right, line goes up

The volume of a cone of height 4cm is 48cm². Find the radius (take π=22/7)

Answers

Answer:

22

Step-by-step explanation:

Is easy just multiple

Find the radius of a circle with area 345 square centimetres

For 35 points need asap in 10 MINS!!!! :)

Answers

5.9

Step-by-step explanation:

345√ is 18.6=3.14*r2 cuz formula

Is πr2

Answer: Radius = 10.48 cm

Step-by-Step Solution:

Radius (r) = ?
Area (A) = πr² = 345 sq. cm

Therefore,
πr² = 345
3.14 * r² = 345
r² = 345/3.14
r² = 109.87
r = √109.87
=> r = 10.48

Radius (r) = 10.48 cm

Flying against the wind, an airplane travels 2520 kilometers in 4 hours. Flying with the wind, the same plane travels 9450 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Using the relation between velocity, distance and time, it is found that:

The rate of the plane is of 840 km/h.The rate of the wind is of 210 km/h.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}[t}[/tex]

Flying against the wind, an airplane travels 2520 kilometers in 4 hours, that is:

[tex]v - v_w = \frac{2520}{4}[/tex]

[tex]v - v_w = 630[/tex]

[tex]v = 630 + v_w[/tex]

Flying with the wind, the same plane travels 9450 kilometers in 9 hours, hence:

[tex]v + v_w = \frac{9450}{9}[/tex]

[tex]v + v_w = 1050[/tex]

[tex]v = 1050 - v_w[/tex]

Hence, solving for the wind's speed:

[tex]630 + v_w = 1050 - v_w[/tex]

[tex]2v_w = 420[/tex]

[tex]v_w = \frac{420}{2}[/tex]

[tex]v_w = 210[/tex]

For the plane, we have that:

v = 1050 - 210 = 840.

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A snowstorm started on
Tuesday at 2:12 P.M. and
ended on Wednesday at
5:46 A.M. How long did it snow in hours and minutes?

(A) 15 hours, 24 minutes
(B) 15 hours, 34 minutes
(C) 16 hours, 14 minutes
(D) 16 hours, 44 minutes

Answers

B) 15 hours, 34 minutes

2:12 + 15 hours = 5:12 A.M

5:12 + 34 minutes = 5:46 A.M

Answer is (B) 15 hr 34 minutes
Explanation
9hr 48 minutes to midnight plus
5 hr 46 minutes on Wednesday
_________
14 hr 94 minutes (simplify - less 60 minutes = 1hr )
15 hr 34 minutes

If : f(x)=x^2, g(x)=x-1. Find (f×g)(x).

Answers

Answer:

[tex] \boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}[/tex]

Step by step explanation:

Given that,

[tex]f(x) = {x}^{2} [/tex]

[tex]g(x) = x - 1[/tex]

Solution:

Solving for (f•g)(x):

[tex] = f(x) \cdot g(x)[/tex]

Now substitute the given values.

[tex] = x {}^{2} \cdot(x - 1)[/tex]

[tex] = x {}^{2} (x - 1)[/tex]

Apply distributive property:

[tex] = (x ^{2} \cdot x) - x {}^{2} \cdot 1[/tex]

[tex] \boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}[/tex]

Hence,f•g(x) will be [tex] x {}^{3} - x {}^{2}[/tex].

Please help with the attached photo.

Answers

The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²)  + 4x² = 1

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

In polar form:

r = √(x² + y²) and cosФ = x / √(x² + y²)

Hence:

r(1 - 2cosФ) = 1

√(x² + y²) [1 - 2(x / √(x² + y²))] = 1

√(x² + y²) - 2x = 1

Take square of both sides:

x² + y² - 4x√(x² + y²)  + 4x² = 1

The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²)  + 4x² = 1

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How do I do this? The question is in the picture.

Answers

Answer:

Step-by-step explanation:

Write a slope-intercept equation for a line that passes through (-2,1) and (3,-14).

Answers

The equation of the line that passes through (1, 5) and (-2, 14) in slope intercept form is y = -3x + 8.

Which compound inequality is represented by the graph?
-3≤x<1
-3 < x≤1
x≤-3 or x> 1
x<-3 or x ≥ 1

Answers

The inequality will be the negative 3 ≤ x < 1. Then the correct option is A.

The missing graph is attached below.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Then the inequality will be

-3 ≤ x < 1

Then the correct option is A.

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Answer:

the answer is A

Step-by-step explanation:

Find f(-4) for f(x)=9(3)^x

Answers

Answer:

[tex] f(-4) = \dfrac{1}{9} [/tex]

Step-by-step explanation:

[tex] f(x) = 9(3)^x [/tex]

[tex] f(-4) = 9(3)^{-4} [/tex]

[tex] f(-4) = 3^2 \cdot 3^{-4} [/tex]

[tex] f(-4) = 3^{-2} [/tex]

[tex] f(-4) = \dfrac{1}{9} [/tex]

Answer:

1/9

-------------

Find the area of the rectangle.
A rectangle is shown. The left side is labeled with the expression 8 x. The top side is labeled with the expression 7 x plus 1. (1 point)
15x + 1
56x2 + 8x
56x + 8
15x2 + 9x

Answers

Answer:

56x² + 8x

(second option listed)

Step-by-step explanation:

area: length × width

length: 7x + 1

width: 8x

(8x)(7x + 1)

{distribute 8x}:

(8x)(7x):  8x × 7x = 8 · 7 · x · x = 56 · x · x = 56x²

(8x)(1) = 8x

area = 56x² + 8x

so, the area of this rectangle is 56x² + 8x

Answer:

56x² + 8x

[answer B]

simplify (8x2y3)/(2x4y)

Answers

Answer:

1) 8x/2x = 4

2) 2y/4y = 1/2

3) (4 x 1/2 x 3) = 6

4) /2

solutions= 6/2=3

s x – 5 a factor of the function f(x) = x3 – 5x2 + 7x – 35? Use the Remainder Theorem to justify your answer.

Answers

By using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

What is factorization?

Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.

The factorization by using the Remainder theorem.

x - 5 )   x³ – 5x² + 7x – 35.( x ² + 7

             x³  -  5x²

             ______________

                00         7x - 35

                             7x - 35

              -------------------------

                                     00

Here the function is completely divided by the factor x - 5 therefore

by using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

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abcdefghijklmnopqrstuvwxyz

Answers

answer:

Now I know My ABC next time won't you sing with me.

A rectangular floor of area 21.6 m2 is going to be tiled. Each tile is rectangular, and has an area of 288 cm2. An exact number of tiles can be put into the space. How many tiles will be needed?

Answers

Answer:

Area of Floor = 21.6.m²

Area of tile = 288 cm² = 0.0288 m²

No. of tiles = Area of floor/ area of tile

= 21.6/0.0288

= 750

750 tiles can be put into the space

Find an angle between zero and 360 that is coterminal with 900°

Answers

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

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